A stabilized fractional step, Runge-Kutta Taylor SPH algorithm for coupled problems in geomechanics
From MaRDI portal
Publication:695849
DOI10.1016/j.cma.2012.02.006zbMath1253.74099OpenAlexW2027496170MaRDI QIDQ695849
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.02.006
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Soil and rock mechanics (74L10) Computational methods for problems pertaining to geophysics (86-08)
Related Items (6)
A viscoplastic approach to the behaviour of fluidized geomaterials with application to fast landslides ⋮ Depth averaged models for fast landslide propagation: mathematical, rheological and numerical aspects ⋮ A general smoothed particle hydrodynamics (SPH) formulation for coupled liquid flow and solid deformation in porous media ⋮ An effective and stabilised \((\mathbf{u} - \boldsymbol{p_l})\) SPH framework for large deformation and failure analysis of saturated porous media ⋮ A general SPH framework for transient seepage flows through unsaturated porous media considering anisotropic diffusion ⋮ The role of time integration in energy conservation in smoothed particle hydrodynamics fluid dynamics simulations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- Fractional step like schemes for free surface problems with thermal coupling using the Lagrangian PFEM
- An analysis of time discretization in the finite element solution of hyperbolic problems
- An SPH projection method
- Simulating free surface flows with SPH
- Smoothed particle hydrodynamics stability analysis
- Modeling low Reynolds number incompressible flows using SPH
- Smoothed particle hydrodynamics: Some recent improvements and applications
- Consistent pseudo-derivatives in meshless methods
- SHP simulation of multi-phase flow
- A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua
- An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics.
- A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems.
- Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations
- Variational and momentum preservation aspects of smooth particle hydrodynamic formulations
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Computing a null divergence velocity field using smoothed particle hydrodynamics
- The finite element method with Lagrangian multipliers
- Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
- A depth-integrated, coupled SPH model for flow-like landslides and related phenomena
- Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model
- Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
- A Runge–Kutta, Taylor–Galerkin scheme for hyperbolic systems with source terms. Application to shock wave propagation in viscoplastic geomaterials
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- The solution of non-linear hyperbolic equation systems by the finite element method
- Stabilized updated Lagrangian corrected SPH for explicit dynamic problems
- An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditions
- Finite element analysis of density flow using the velocity correction method
- Shallow water problems: A general explicit formulation
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- An iterative algorithm to build continuous stress and displacement solutions
- Incompressibility without tears—HOW to avoid restrictions of mixed formulation
- Triangles and tetrahedra in explicit dynamic codes for solids
- STRESS POINTS FOR TENSION INSTABILITY IN SPH
- An approach for tension instability in smoothed particle hydrodynamics (SPH)
- Smoothed Particle Hydrodynamics
- A two-step Taylor-Galerkin algorithm applied to shock wave propagation in soils
- Numerical modelling of the propagation of fast landslides using the finite element method
- Normalized SPH with stress points
- A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
- Reproducing kernel particle methods
- A class of mixed assumed strain methods and the method of incompatible modes
- Static and dynamic behaviour of soils : a rational approach to quantitative solutions. I. Fully saturated problems
- Wave propagation and localization problems in saturated viscoplastic geomaterials
- SPH elastic dynamics
This page was built for publication: A stabilized fractional step, Runge-Kutta Taylor SPH algorithm for coupled problems in geomechanics
